IOM 2017, Блиц — Задача 61

OLYMPIAD OF METROPOLISES. Moscow, September 4 · 4 септември 2017 г.

Условие

A planet of radius $R$ contains a spherical cavity of radius $r$ which shares a common tangent plane with the planet surface at point $A$. An astronaut throws a rock at point $A$ and finds out that $g(A) = 25m/s^2$, where $g(X)$ is the gravitational acceleration at point $X$. Given that $r = R/3$ find $g(B)$ (the gravitational acceleration at point $B$).

The answer should be given in the SI units unless otherwise stated. If the numerical result turns out to be an integer, it should be given as the answer. Otherwise round the result to the first decimal.
$g = 10\ \mathrm{m/s^2}$.

Отговори

Решение

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Оригинал в Архива: blitz.pdf · официални решения: answers-blitz.pdf